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Finding the Fourth Proportional to 25,889.89, 38,803.06 and 13,402.80

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Solution

The fourth proportional to 25,889.89, 38,803.06 and 13,402.80 is: 20,087.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.89 : 38,803.06 = 13,402.80 : x
  2. Step 2: Convert to fraction form
    25,889.89/38,803.06 = 13,402.80/x
  3. Step 3: Cross multiply
    25,889.89x = 38,803.06 × 13,402.80
  4. Step 4: Simplify right side
    25,889.89x = 520,069,652.57
  5. Step 5: Solve for x
    x = 520,069,652.57/25,889.89
  6. Step 6: Final answer
    x = 20,087.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.